Math worksheet for dividing 4-digit numbers by 3-digit numbers with remainders.

The task involves solving division problems where 4-digit numbers are divided by 3-digit numbers, and the quotient and remainder must be determined. Below is the step-by-step solution for each problem:

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Problem 1: \( 1549 \div 107 \)

1. Divide: Determine how many times 107 fits into 1549.
- \( 1549 \div 107 \approx 14 \) (since \( 107 \times 14 = 1498 \)).
2. Multiply: Calculate \( 107 \times 14 = 1498 \).
3. Subtract: Subtract the product from 1549 to find the remainder.
- \( 1549 - 1498 = 51 \).

Answer: \( 1549 \div 107 = 14 \) with a remainder of \( 51 \).

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Problem 2: \( 7123 \div 842 \)

1. Divide: Determine how many times 842 fits into 7123.
- \( 7123 \div 842 \approx 8 \) (since \( 842 \times 8 = 6736 \)).
2. Multiply: Calculate \( 842 \times 8 = 6736 \).
3. Subtract: Subtract the product from 7123 to find the remainder.
- \( 7123 - 6736 = 387 \).

Answer: \( 7123 \div 842 = 8 \) with a remainder of \( 387 \).

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Problem 3: \( 3059 \div 654 \)

1. Divide: Determine how many times 654 fits into 3059.
- \( 3059 \div 654 \approx 4 \) (since \( 654 \times 4 = 2616 \)).
2. Multiply: Calculate \( 654 \times 4 = 2616 \).
3. Subtract: Subtract the product from 3059 to find the remainder.
- \( 3059 - 2616 = 443 \).

Answer: \( 3059 \div 654 = 4 \) with a remainder of \( 443 \).

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Problem 4: \( 1962 \div 416 \)

1. Divide: Determine how many times 416 fits into 1962.
- \( 1962 \div 416 \approx 4 \) (since \( 416 \times 4 = 1664 \)).
2. Multiply: Calculate \( 416 \times 4 = 1664 \).
3. Subtract: Subtract the product from 1962 to find the remainder.
- \( 1962 - 1664 = 298 \).

Answer: \( 1962 \div 416 = 4 \) with a remainder of \( 298 \).

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Problem 5: \( 6781 \div 514 \)

1. Divide: Determine how many times 514 fits into 6781.
- \( 6781 \div 514 \approx 13 \) (since \( 514 \times 13 = 6682 \)).
2. Multiply: Calculate \( 514 \times 13 = 6682 \).
3. Subtract: Subtract the product from 6781 to find the remainder.
- \( 6781 - 6682 = 99 \).

Answer: \( 6781 \div 514 = 13 \) with a remainder of \( 99 \).

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Problem 6: \( 2556 \div 789 \)

1. Divide: Determine how many times 789 fits into 2556.
- \( 2556 \div 789 \approx 3 \) (since \( 789 \times 3 = 2367 \)).
2. Multiply: Calculate \( 789 \times 3 = 2367 \).
3. Subtract: Subtract the product from 2556 to find the remainder.
- \( 2556 - 2367 = 189 \).

Answer: \( 2556 \div 789 = 3 \) with a remainder of \( 189 \).

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Problem 7: \( 9319 \div 938 \)

1. Divide: Determine how many times 938 fits into 9319.
- \( 9319 \div 938 \approx 9 \) (since \( 938 \times 9 = 8442 \)).
2. Multiply: Calculate \( 938 \times 9 = 8442 \).
3. Subtract: Subtract the product from 9319 to find the remainder.
- \( 9319 - 8442 = 877 \).

Answer: \( 9319 \div 938 = 9 \) with a remainder of \( 877 \).

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Problem 8: \( 5029 \div 927 \)

1. Divide: Determine how many times 927 fits into 5029.
- \( 5029 \div 927 \approx 5 \) (since \( 927 \times 5 = 4635 \)).
2. Multiply: Calculate \( 927 \times 5 = 4635 \).
3. Subtract: Subtract the product from 5029 to find the remainder.
- \( 5029 - 4635 = 394 \).

Answer: \( 5029 \div 927 = 5 \) with a remainder of \( 394 \).

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Final Answers

1. \( 1549 \div 107 = 14 \) R \( 51 \)
2. \( 7123 \div 842 = 8 \) R \( 387 \)
3. \( 3059 \div 654 = 4 \) R \( 443 \)
4. \( 1962 \div 416 = 4 \) R \( 298 \)
5. \( 6781 \div 514 = 13 \) R \( 99 \)
6. \( 2556 \div 789 = 3 \) R \( 189 \)
7. \( 9319 \div 938 = 9 \) R \( 877 \)
8. \( 5029 \div 927 = 5 \) R \( 394 \)

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Boxed Final Answer

\[
\boxed{
\begin{aligned}
1. & \quad 1549 \div 107 = 14 \text{ R } 51 \\
2. & \quad 7123 \div 842 = 8 \text{ R } 387 \\
3. & \quad 3059 \div 654 = 4 \text{ R } 443 \\
4. & \quad 1962 \div 416 = 4 \text{ R } 298 \\
5. & \quad 6781 \div 514 = 13 \text{ R } 99 \\
6. & \quad 2556 \div 789 = 3 \text{ R } 189 \\
7. & \quad 9319 \div 938 = 9 \text{ R } 877 \\
8. & \quad 5029 \div 927 = 5 \text{ R } 394 \\
\end{aligned}
}
\]